340085088 has 288 divisors, whose sum is σ = 1197957600. Its totient is φ = 93477888.

The previous prime is 340085077. The next prime is 340085147. The reversal of 340085088 is 880580043.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227606 + ... + 1227882.

It is an arithmetic number, because the mean of its divisors is an integer number (4159575).

Almost surely, 2^340085088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598978800).

340085088 is an abundant number, since it is smaller than the sum of its proper divisors (857872512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340085088 is a wasteful number, since it uses less digits than its factorization.

340085088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 340085088 is about 18441.3960425994. The cubic root of 340085088 is about 698.0114228173.

It can be divided in two parts, 3400 and 85088, that added together give a palindrome (88488).

The spelling of 340085088 in words is "three hundred forty million, eighty-five thousand, eighty-eight".